Question

A die is thrown once. Find the probability of getting(i) a prime number; (ii) a number lying between 2 and 6; (iii) an odd number.

Answer 1

Here, sample space, `S = {1,2,3,4,5,6}`
So, `n(S) = 6`
(i)Prime numbers in given sample space, ` E_p= {2,3,5}`
So,`n(E_p) = 3`
Probability of getting a prime number, `P(E_p) = 3/6 = 1/2`

(ii)Number lying between 2 and 6 in given sample space,`E_b = {3,4,5}`
So,`n(E_b) = 3`
Probability of getting a number lying between 2, and 6,`P(E_b) = 3/6 = 1/2`

(iii)Odd numbers in given sample space,`E_o = {1,3,5}`
So,`n(E_o) = 3`
Probability of getting a prime number, `P(E_o) = 3/6 = 1/2`